Year 12: Measurement

3 dot points across 3 inquiry questions, in syllabus order. Each dot point has a focused answer, with exam-style questions and worked answers where available.

MS-M4 Rates: how are rates used to solve problems in practical contexts?

Use rates to solve practical problems, including converting between units for rates (such as km/h to m/s), comparing rates, fuel consumption, energy use and costs, and heart rate and target heart rate

What a rate is, converting rates between units (km/h to m/s), comparing rates for best buys, fuel consumption in litres per 100 km, electricity use and cost in kilowatt-hours, and heart rate and target heart rate ranges, with worked examples.

7 min read →

MS-M5 Scale Drawings: how are scale drawings and similarity used to solve practical measurement problems?

Interpret and use scale drawings, including building plans and elevation views, use similarity and scale factors to find lengths, calculate areas and volumes from plans, and use the trapezoidal rule to estimate the area of irregular shapes

Reading scales and scale factors, interpreting building plans and elevation views (millimetres as the standard unit), using similar triangles to find unknown lengths, calculating areas and volumes from plans, and estimating irregular areas with the trapezoidal rule.

8 min read →

MS-M3 Right-angled Triangles: how are Pythagoras' theorem and trigonometry used to solve practical problems?

Solve practical problems involving right-angled triangles using Pythagoras' theorem and the trigonometric ratios, including angles of elevation and depression and problems involving true and compass bearings

Using Pythagoras' theorem and sine, cosine and tangent (SOH CAH TOA) to find sides and angles in right-angled triangles, solving angle of elevation and depression problems, and drawing and using true and compass bearings in practical navigation problems.

8 min read →